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204630032501613 = 321729244118893489
BaseRepresentation
bin101110100001110000100100…
…011001011100101101101101
3222211112102212210121222012100
4232201300210121130231231
5203310124301310022423
62003113423354325313
761050013652242455
oct5641604431345555
9884472783558170
10204630032501613
115a224122720484
121ab4a807a29839
138a246b5a49714
143876209ab2d65
15189cd6b7b1343
hexba1c2465cb6d

204630032501613 has 48 divisors (see below), whose sum is σ = 323888076111600. Its totient is φ = 123917097615360.

The previous prime is 204630032501611. The next prime is 204630032501663. The reversal of 204630032501613 is 316105230036402.

204630032501613 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 3 + 0 + 0 + 32 + 5 + 0 + 1 + 613 = 666.

204630032501613 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 40554760900644 + 164075271600969 = 6368262^2 + 12809187^2 .

It is not a de Polignac number, because 204630032501613 - 21 = 204630032501611 is a prime.

It is a super-2 number, since 2×2046300325016132 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204630032501611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1383973 + ... + 20277461.

It is an arithmetic number, because the mean of its divisors is an integer number (6747668252325).

Almost surely, 2204630032501613 is an apocalyptic number.

It is an amenable number.

204630032501613 is a deficient number, since it is larger than the sum of its proper divisors (119258043609987).

204630032501613 is a wasteful number, since it uses less digits than its factorization.

204630032501613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18895982 (or 18895979 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 204630032501613 in words is "two hundred four trillion, six hundred thirty billion, thirty-two million, five hundred one thousand, six hundred thirteen".

Divisors: 1 3 9 17 29 51 87 153 261 493 1479 2441 4437 7323 21969 41497 70789 124491 212367 373473 637101 1203413 3610239 10830717 18893489 56680467 170041401 321189313 547911181 963567939 1643733543 2890703817 4931200629 9314490077 27943470231 46119006649 83830410693 138357019947 415071059841 784023113033 1337451192821 2352069339099 4012353578463 7056208017297 12037060735389 22736670277957 68210010833871 204630032501613